On a Paneitz Type Equation in Six Dimensional Domains

Abstract

In this paper we consider a fourth order equation involving the critical Sobolev exponent on a bounded and smooth domain in ${\mathbb{R}}^6$. Using theory of critical points at infinity, we give some topological conditions on a given function defined on a domain to ensure some existence results.

14 pages

References in corpus (1)

• The Paneitz Curvature Problem on Lower Dimensional Spheres